指数型分层介质粗糙面电磁波透射系数的特征
Characteristics of electromagnetic wave transmission coefficient through exponential distribution rough surface of stratified medium
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摘要: 根据瑞利假设,运用微扰法近似,将透射场按平面波展开,对坐标进行傅里叶变换,研究了平面波入射时的透射散射现象,避免了繁琐的推导和证明;采用指数型粗糙面模拟实际的介质粗糙面,结合其功率谱导出了透射系数计算公式。数值计算结果表明:中间介质介电常数的实部越大,透射系数越大,虚部越大,透射系数越小;中间介质厚度越大,透射系数越小;粗糙面均方根越大,透射系数越大;粗糙面相关长度越大,透射系数越大;透射系数随入射波频率振荡地增大。Abstract: The electromagnetic wave transmission with plane wave incidence through the rough surface of stratified medium is studied through expanding transmission field by plane wave and carrying out Fourier Transform to coordinates. This study method adopts small perturbation method according to Rayleigh hypothesis, and can avoid cumbersome derivation and proof. An exponential distribution rough surface is presented for describing the natural rough surface of stratified medium, and the formula of the transmission coefficient is derived with considering power spectrum density. Numerical results show that, the transmission coefficient grows with increasing dielectric constant real part of intermediate medium, and height fluctuation (root mean square) and correlation length of rough surface, while red
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